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Finding the Third Proportional to 61,814 and 92,721

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Solution

The third proportional to 61,814 and 92,721 is: 139,081.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,814 : 92,721 = 92,721 : x
  2. Step 2: Convert to fraction form
    61,814/92,721 = 92,721/x
  3. Step 3: Cross multiply
    61,814x = 92,721 × 92,721
  4. Step 4: Simplify right side
    61,814x = 8,597,183,841
  5. Step 5: Solve for x
    x = 8,597,183,841/61,814
  6. Step 6: Final answer
    x = 139,081.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.